Answer:
4
Step-by-step explanation:
The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The factors of 100 are: 1, 2, 4, 5, 10, 20, 25, 50, 100
They have 4 in common
100 = 2*2*5*5
84 = 2*2*3*4
the greatest common factor is a prime number whit most appearance in both numbers:
in this case the prime number is 2 and it is repeated twice in both numbers, hence 2*2 = 4
Answer:1
175 dimes and 75 quarters
Make a system of equations, where d is the number of dimes and q is the number of quarters:
d + q = 250
0.1d + 0.25q = 36.25
Solve by elimination by multiplying the top equation by -0.1:
-0.1d - 0.1q = -25
0.15q = 11.25
q = 75
Then, plug in 75 as q into one of the equations to solve for d:
d + 75 = 250
d = 175
So, there are 175 dimes and 75 quarters
